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Finding the Fourth Proportional to 721.82, 1,081.32 and 477.62

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Solution

The fourth proportional to 721.82, 1,081.32 and 477.62 is: 715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.82 : 1,081.32 = 477.62 : x
  2. Step 2: Convert to fraction form
    721.82/1,081.32 = 477.62/x
  3. Step 3: Cross multiply
    721.82x = 1,081.32 × 477.62
  4. Step 4: Simplify right side
    721.82x = 516,460.06
  5. Step 5: Solve for x
    x = 516,460.06/721.82
  6. Step 6: Final answer
    x = 715.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.